What is the first derivative of 5+x^2 ?

The first derivative of 5+x^2 is 2x

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derivative of 5+x^2

derivative of

5 + x^{2}

2 x

Solution steps

\frac{d}{d x} (5 + x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5) + \frac{d}{d x} (x^{2})

\frac{d}{d x} (5) = 0

\frac{d}{d x} (x^{2}) = 2 x

= 0 + 2 x

Simplify

= 2 x

\frac{\partial}{\partial x} (2 y - x^{2})

\frac{d}{d x} (\frac{( x ^{2} - 5 x )}{x + 1})

\int \frac{x + 5}{5 - x} d x

\frac{d}{d x} ((5 x^{3} - 8)^{10})

x \to 6 - lim (5)